38666628 has 288 divisors, whose sum is σ = 139426560. Its totient is φ = 8709120.

The previous prime is 38666597. The next prime is 38666647. The reversal of 38666628 is 82666683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1045026 + ... + 1045062.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 2^38666628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38666628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

38666628 is an abundant number, since it is smaller than the sum of its proper divisors (100759932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38666628 is a wasteful number, since it uses less digits than its factorization.

38666628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 38666628 is about 6218.2495929321. The cubic root of 38666628 is about 338.1521087482.

It can be divided in two parts, 38 and 666628, that added together give a palindrome (666666).

The spelling of 38666628 in words is "thirty-eight million, six hundred sixty-six thousand, six hundred twenty-eight".